Comparing Some Regions in a Square
In the figure below, quadrilateral
is a square, and
is the midpoint of the side
. How do the areas of regions I, II, III, and IV compare? Another way to think about this is to consider the question, What are the ratios of the areas of the
In the Sudoku grid at left, only the numbers along the perimeter are shown.
the grid was completed according to the standard Sudoku rules — each row,
column and 3 × 3 square contains the numbers 1–9. Would the sum
of all the missing numbers be divisible by 3?